9 Questions
What is the inverse function of $f(x) = rac{1}{2} imes 3^x$?
$f^{-1}(x) = rac{1}{3} imes 2^x$
What is the vertical asymptote of the function $g(x) = 2 - rac{3}{ ext{ln}(x)}$?
$x = 0$
Which of the following transformations would result in a vertical stretch of the function $h(x) = ext{log}_2(x)$?
$h(x) = 2 imes ext{log}_2(x)$
What is the inverse function of $f(x) = e^{2x} + 1$?
$f^{-1}(x) = \log_e(x-1)$
What is the vertical asymptote of the function $g(x) = 3 - \frac{1}{\ln(x)}$?
$x=1$
Which of the following transformations would result in a horizontal compression of the function $h(x) = \log_3(x)$?
Replacig $x$ with $3x$ inside the function
Which of the following transformations would result in a vertical compression of the function $f(x) = e^{2x}$?
The transformation $f(x) = e^{x/2}$
What is the horizontal asymptote of the function $g(x) = 3 - \frac{1}{\ln(x)}$?
$y = 0$
Which of the following transformations would result in a horizontal stretch of the function $h(x) = \log_2(x)$?
The transformation $h(x) = \log_2(2x)$
Test your knowledge of logarithmic functions and graphing by answering questions about inverse functions, vertical asymptotes, and function transformations.
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